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30 minutes extra 3PV and GG 3PV rule adopt more offensive analyze applied game theory argument Assumption basic game theory Botswana Brown University chances of scoring change in payoff change their strategy Chiappori Columbia Business School conceding a goal conceding an early defensive Denote draw persisted early goal Economic effects elimination tournaments Email excessively simplistic expected payoff expected value extra-time function of team GG rule golden goal incentives of teams increase league tournaments level of offensive marginal probability Minimax mixed strategy Nash equilibrium number of goals obvious or inconclusive offensive play offensive strategies optimal strategy Palacios-Huerta Palomino Paul Klemperer play more offensively play offensively predictions probability of scoring Proposition resp rival s)he scored a goal second half-period simplest soccer rules sport strategy 9 strategy of teams Subscription team scores team's teams adopt teams to adopt teams to play Technology Shocks three-point victory unique and solves Wimbledon win the match